Use pythagoras to find the 3rd length of the triangle:
Square root of 8.5^2-7^2= 4.82 yd
Find the area of the trapezium:
((2+(2+4.82))x7)/2
= 30.87 yd^2
To find the area of the parallelogram you just take away the area of the triangle from the area of the trapezium:
Area of triangle is (4.82x7)/2= 16.87yd^2
The two inequalities formed will be:
One for ticket quantity:
x + y ≤ 600
One for funds generated via tickets:
5x + 7y ≥ 3500
Equating x to 330,
5(330) +7y ≥ 3500
y = 265
Checking if the other inequality holds true:
330 + 265 ≤ 600
595 ≤ 600
This inequality is still true so they can sell 265 tickets on the event day and cover their expenses.
Answer:
C
Step-by-step explanation:
Answer:
x = 10.4
Step-by-step explanation:
1. Multiply each side by 5 to remove it as a fraction
2. it cancels out on the left leaving 10x - 4 = 100
3. Add 4 to each side canceling it out on the left and leaving 10x = 104
4. Divide each side by 10 to get x by itself
5. 10x/100 = 104/10
6. x = 10.4
